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On extremal problems on classes of functions defined by integral moduli of continuity

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Abstract

We obtain lower bounds for solutions of some extremal problems on classes of functions W rH ω1 with integral modulus of continuity ω(t). Some of these bounds are regarded as exact.

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Authors
  1. A. A. Ligun
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  2. E. V. Chernaya
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Additional information

Dneprodzerzhinsk Technical University, Dneprodzerzhinsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11. pp. 1499–1503, November, 1997.

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Ligun, A.A., Chernaya, E.V. On extremal problems on classes of functions defined by integral moduli of continuity. Ukr Math J 49, 1682–1687 (1997). https://doi.org/10.1007/BF02487506

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  • DOI: https://doi.org/10.1007/BF02487506

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